There are size/shape distinctions but they are all galaxies. There are issues with spiral/blob issues although in the last few years the discovery of a lot of smaller dwarf galaxies have raised issues with the standard classification. Unfortunately, I don’t know anything about this in detail. Size issues may be relevant in that LGM is much smaller than Andromeda (by a factor of around 100).
There are size/shape distinctions but they are all galaxies. There are issues with spiral/blob issues although in the last few years the discovery of a lot of smaller dwarf galaxies have raised issues with the standard classification. Unfortunately, I don’t know anything about this in detail. Size issues may be relevant in that LGM is much smaller than Andromeda (by a factor of around 100).